Find the area shared by the two polar curves r = 2 and r = 2+2cose....
Show all work please! 1. Graph the polar equations r = 3-2sin(0) and r = 2. Find and label any key points that you will need to find the area that lies in the common interior of the two polar curves. Set up the integral(s) and please show all the work to integrate and evaluate your integral manually.
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 0 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that eive complete cycle for each curve. a b. Discuss the symmetry of each curve. ulate the area for the region of overlap that you shaded and described in part a. Show all steps...
1. The following questions involve the two polar curves: R 2+2sin20 and r 6sin 6 Sketch the curves and shade the region outside R and inside r. Use a large size graph paper and clearly indicate the points of intersection. Also indicate the values of theta that give one complete cycle for each curve. Discuss the symmetry of each curve. a. b. Calculate the area for the region of overlap that you shaded and described in part a. Show all...
1 The following questions involve the two polar curves: Sketch the curves and shade the region outside R and inside r Use a large size graph paper a l clearly indicate the points of intersection. Also indicate the values of theta that give one complete cycle for each curve b. Discuss the symmetry of each curve c. Calculate th e area for the region of overlap that you shaded and described in part a. Show all steps clearly and neatly....
Any help would be appreciated!
6. (3 pts.) Let R be the region colored in black in the figure below. The two curves bounding R are the circle 12 + y2-= 1 and the curve described in polar coordinates by the equation r-2 sin(20). Set up but do NOT evaluate a (sum of) double integral(s) in polar coordinates to find the area of R. We were unable to transcribe this image
6. (3 pts.) Let R be the region colored...
1. The polar curves r@) = 1 + 2 sin(39), r = 2, are graphed below. 2 (a) Find the area inside the larger loops and outside the smaller loops of the graph of r 12 sin(30). [Hint: Use symmetry, the answer is 3v3.] [Answer: sf-i.] quadrant where r is maximum? (b) Find the area outside the circle r 2 but inside the curve r 1+2 sin(30) (c) What is the tangent line to the curve r-1+2sin(30) at the point...
Below is a graph of the circle r = 4 cos θ and the circle r = 2.
y x −1 1 −2 2 −2 −1 1 2 3 4 (i) Find the polar coordinates of both
intersection points of these two curves. (Note: show all of your
work) (ii) Set up (but do not evaluate) an integral that represents
the area inside of the circle r = 4 cos(θ) and outside of the
circle r = 2. (Note: no...
Three polar curves r = 2sinθ, θ = π, and r = cscθ partition
the plane 3
into several regions. Find the area of the smallest
region.
There is an error in my writing.... Pls watch the picture...
6. Three polar curves r 2 sin θ, θ , and r = csc θ partition the plane into several regions. Find the area of the smallest region
6. Three polar curves r 2 sin θ, θ , and r = csc...
(1 point) Find the area of the inner loop of the Imacon with polar equation r-7 cos θ-2 =cos-1(3) Answer: (1 point) Sketch the segment r-sec θ for 0 θ Then compute its length in two ways: as an integral in polar coordinates and using trigonometry
(1 point) Find the area of the inner loop of the Imacon with polar equation r-7 cos θ-2 =cos-1(3) Answer:
(1 point) Sketch the segment r-sec θ for 0 θ Then compute its length...
only do part (a)
21. Graph the following polar curves: a) r = 2 + 4 cos(O) b) r = 5 – 10 sin(0) For each of the graphs above, set up the integral(s) that calculates: the area of inner loop; • the area of outer loop; • the area between loops; the arclength of the inner loop; the arclength of the outer loop.